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1. Introduction -- 2. Quaternions. 2a. Algebraic structures. 2b. Jordan formulation, H-Hilbert spaces and groups. 2c. Vector products, parallelisms and quaternionic manifolds. 2d. Quaternionic function theory. 2e. Arithmetics of quaternions. 2f. Selected physical applications. 2…
This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and oc…